Question

61. The penny-farthing is a bicycle that was popular between 1870 and 1890. As the drawing shows, this type of bicycle has a large front the front wheel (radius 1.20 m) makes 276 revolutions. How many revolutions does the rear wheel (radius - 0.340 m) make? heel and a small rear wheel. During a ride 3.37 s 29) a) 0.332 rad/'s b) 128 m 33) 0.34 m 38) 16 51) 0.300 m's x61) 974 rev

Answer 1

We know that distance travelled by both wheels will be equal, which means

distance travelled by front wheel = distance travelled by rear wheel

S1 = S2

2*pi*r1*n1 = 2*pi*r2*n2

r1 = radius of front wheel = 1.20 m

r2 = radius of rear wheel = 0.340 m

n1 = number of revolutions by front wheel = 276 rev

n2 = number of revolutions by rear wheel = ? rev

from above equation

n2 = n1*(r1/r2)

n2 = 276*(1.20/0.340) = 974.12 rev

n2 = number of revolutions by rear wheel = 974 rev

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